During a tennis serve, a racket is given an
angularacceleration of magnitude 160 rad/s2. at thetop
of the serve, the racket has an angular speed of 14 rad/s. ifthe
distance between the top of the racket and the shoulder is1.5m,
find the magnitude of the total acceleration of the top ofthe
racket.

379.521 m/s²

Explanation:

r = Radius = 1.5 m

= Angular acceleration = 160 rad/s²

= Angular speed = 14 rad/s

Tangential acceleration is given by

Centripetal accelration is given by

The resultant acceleration is given by

The magnitude of the total acceleration of the top of the racket is 379.521 m/s²

diagram is missing, but i will try to explain your doubt.

answer:

amplitude is the maximum displacement or distance moved on a point of a vibrating body or wave measured from its equilibrium position.it is equal to half the length of vibration path.